Finding the Fourth Proportional to 25,225,536,971.30, 34,794,838,394.78 and 16,178,965,880.99
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Solution
The fourth proportional to 25,225,536,971.30, 34,794,838,394.78 and 16,178,965,880.99 is: 22,316,452,722.65
Step by Step Solution
- Step 1: Write the proportion equation
25,225,536,971.30 : 34,794,838,394.78 = 16,178,965,880.99 : x - Step 2: Convert to fraction form
25,225,536,971.30/34,794,838,394.78 = 16,178,965,880.99/x - Step 3: Cross multiply
25,225,536,971.30x = 34,794,838,394.78 × 16,178,965,880.99 - Step 4: Simplify right side
25,225,536,971.30x = 562,944,503,223,451,648,000 - Step 5: Solve for x
x = 562,944,503,223,451,648,000/25,225,536,971.30 - Step 6: Final answer
x = 22,316,452,722.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.